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Finding the Fourth Proportional to 533,242.31, 735,876.98 and 291,524.90

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Solution

The fourth proportional to 533,242.31, 735,876.98 and 291,524.90 is: 402,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,242.31 : 735,876.98 = 291,524.90 : x
  2. Step 2: Convert to fraction form
    533,242.31/735,876.98 = 291,524.90/x
  3. Step 3: Cross multiply
    533,242.31x = 735,876.98 × 291,524.90
  4. Step 4: Simplify right side
    533,242.31x = 214,526,457,869.79
  5. Step 5: Solve for x
    x = 214,526,457,869.79/533,242.31
  6. Step 6: Final answer
    x = 402,305.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.